Atriangle, △abc, is rotated 90° counterclockwise, reflected across the x−axis, and then reflected across the y−axis. select true or false for each statement. -rotating △abc 180° clockwise is an equivalent transformation. -rotating △abc 270° clockwise is an equivalent transformation. -reflecting △abc across the y-axis is an equivalent transformation.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. there are 132 women at the circus show. how many children are at the circus show?

Among the most famous of all meteor showers are the perseids, which occur each year in early august. in some areas the frequency of visible perseids can be as high as 40 per hour. given that such sightings are poisson events, calculate the probability that an observer who has just seen a meteor will have to wait at least five minutes before seeing another.